7,536,094

2 × 43 × 87629

Starting at 7,536,094, the Collatz iteration reaches 1 after 155 steps. The first transition is 3768047; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 43 × 87629

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,567,160

Proper Divisor Sum 4,031,066

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7536091 ← → #7536119

Radix Representation

Decimal	7536094
Binary	11100101111110111011110 (23 bits)
Octal	0o34576736
Hexadecimal	0x72FDDE

Divisor Catalog (8)

1 2 43 86 87,629 175,258 3,768,047 7,536,094

Collatz Trajectory (155 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,536,094 3,768,047 11,304,142 5,652,071 16,956,214 8,478,107 25,434,322 12,717,161 38,151,484 19,075,742 9,537,871 28,613,614 14,306,807 42,920,422 21,460,211 64,380,634 32,190,317 96,570,952 48,285,476 24,142,738 12,071,369 36,214,108 18,107,054 9,053,527 27,160,582 13,580,291 40,740,874 20,370,437 61,111,312 30,555,656 15,277,828 7,638,914 3,819,457 11,458,372 5,729,186 2,864,593 8,593,780 4,296,890 2,148,445 6,445,336 3,222,668 1,611,334 805,667 2,417,002 1,208,501 3,625,504 1,812,752 906,376 453,188 226,594 113,297 339,892 169,946 84,973 254,920 127,460 63,730 31,865 95,596 47,798

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